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Finding the Fourth Proportional to 432.27, 648.81 and 216

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Solution

The fourth proportional to 432.27, 648.81 and 216 is: 324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.27 : 648.81 = 216 : x
  2. Step 2: Convert to fraction form
    432.27/648.81 = 216/x
  3. Step 3: Cross multiply
    432.27x = 648.81 × 216
  4. Step 4: Simplify right side
    432.27x = 140,142.96
  5. Step 5: Solve for x
    x = 140,142.96/432.27
  6. Step 6: Final answer
    x = 324.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.